Random matrix theory in statistics: A review
D Paul, A Aue - Journal of Statistical Planning and Inference, 2014 - Elsevier
We give an overview of random matrix theory (RMT) with the objective of highlighting the
results and concepts that have a growing impact in the formulation and inference of …
results and concepts that have a growing impact in the formulation and inference of …
Large system analysis of linear precoding in correlated MISO broadcast channels under limited feedback
In this paper, we study the sum rate performance of zero-forcing (ZF) and regularized ZF
(RZF) precoding in large MISO broadcast systems under the assumptions of imperfect …
(RZF) precoding in large MISO broadcast systems under the assumptions of imperfect …
[LIVRE][B] Random matrix methods for machine learning
R Couillet, Z Liao - 2022 - books.google.com
This book presents a unified theory of random matrices for applications in machine learning,
offering a large-dimensional data vision that exploits concentration and universality …
offering a large-dimensional data vision that exploits concentration and universality …
On capacity of large-scale MIMO multiple access channels with distributed sets of correlated antennas
In this paper, a deterministic equivalent of ergodic sum rate and an algorithm for evaluating
the capacity-achieving input covariance matrices for the uplink large-scale multiple-input …
the capacity-achieving input covariance matrices for the uplink large-scale multiple-input …
Fluctuations of eigenvalues and second order Poincaré inequalities
S Chatterjee - Probability Theory and Related Fields, 2009 - Springer
Linear statistics of eigenvalues in many familiar classes of random matrices are known to
obey gaussian central limit theorems. The proofs of such results are usually rather difficult …
obey gaussian central limit theorems. The proofs of such results are usually rather difficult …
A new approach for mutual information analysis of large dimensional multi-antenna channels
W Hachem, O Khorunzhiy, P Loubaton… - IEEE Transactions …, 2008 - ieeexplore.ieee.org
This paper adresses the behavior of the mutual information of correlated multiple-input
multiple-output (MIMO) Rayleigh channels when the numbers of transmit and receive …
multiple-output (MIMO) Rayleigh channels when the numbers of transmit and receive …
A deterministic equivalent for the analysis of correlated MIMO multiple access channels
In this article, novel deterministic equivalents for the Stieltjes transform and the Shannon
transform of a class of large dimensional random matrices are provided. These results are …
transform of a class of large dimensional random matrices are provided. These results are …
Base station cooperation on the downlink: Large system analysis
R Zakhour, SV Hanly - IEEE Transactions on information theory, 2012 - ieeexplore.ieee.org
This paper considers maximizing the network-wide minimum supported rate in the downlink
of a two-cell system, where each base station (BS) is endowed with multiple antennas. This …
of a two-cell system, where each base station (BS) is endowed with multiple antennas. This …
Outage probability and finite-SNR DMT analysis for IRS-aided MIMO systems: How large IRSs need to be?
Intelligent reflecting surfaces (IRSs) are promising enablers for high-capacity wireless
communication systems by constructing favorable channels between the transmitter and …
communication systems by constructing favorable channels between the transmitter and …
Joint power and antenna selection optimization in large cloud radio access networks
Large multiple-input multiple-output (MIMO) networks promise high energy efficiency, ie,
much less power is required to achieve the same capacity compared to the conventional …
much less power is required to achieve the same capacity compared to the conventional …